472,680
472,680 is a composite number, even.
472,680 (four hundred seventy-two thousand six hundred eighty) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5 × 13 × 101. Its proper divisors sum to 1,198,080, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x73668.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 27
- Digit product
- 0
- Digital root
- 9
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 86,274
- Square (n²)
- 223,426,382,400
- Cube (n³)
- 105,609,182,432,832,000
- Divisor count
- 96
- σ(n) — sum of divisors
- 1,670,760
- φ(n) — Euler's totient
- 115,200
- Sum of prime factors
- 131
Primality
Prime factorization: 2 3 × 3 2 × 5 × 13 × 101
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√472,680 = [687; (1, 1, 13, 1, 37, 3, 1, 3, 1, 1, 2, 152, 2, 1, 1, 3, 1, 3, 37, 1, 13, 1, 1, 1374)]
Period length 24 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-two thousand six hundred eighty
- Ordinal
- 472680th
- Binary
- 1110011011001101000
- Octal
- 1633150
- Hexadecimal
- 0x73668
- Base64
- BzZo
- One's complement
- 4,294,494,615 (32-bit)
- Scientific notation
- 4.7268 × 10⁵
- As a duration
- 472,680 s = 5 days, 11 hours, 18 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
- Greek (Milesian)
- ͵υοβχπʹ
- Chinese
- 四十七萬二千六百八十
- Chinese (financial)
- 肆拾柒萬貳仟陸佰捌拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 472680, here are decompositions:
- 11 + 472669 = 472680
- 37 + 472643 = 472680
- 41 + 472639 = 472680
- 83 + 472597 = 472680
- 107 + 472573 = 472680
- 137 + 472543 = 472680
- 139 + 472541 = 472680
- 157 + 472523 = 472680
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.54.104.
- Address
- 0.7.54.104
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.54.104
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 472,680 and was likely granted around 1891.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.